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Simplification Questions and Practice Problems - Hitbullseye

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8/9/2019 Simplification Questions and Practice Problems - Hitbullseye

Solve the following simplification questions

Q.1. 5÷√5=?
A. √5

B. 5

C. 25

D. 0.05

ANSWER & EXPLANATION

Sol : Option B
Applying BODMAS rule: 5 ÷ √5 = 5/√5 = √5

Q.2.

A. 2(1/7)

B. 1/7

C. 6/7

D. None of these

ANSWER & EXPLANATION

Sol : Option C

= (1/8) + (3/7) - (1/8) + (3/7) = (6/7)

Q.3. Solve 5(1/2) + 6(1/2) - 8(1/4)


A. 2(3/4)

B. 3(3/4)

C. 2(1/4)

D. None of these

ANSWER & EXPLANATION

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8/9/2019 Simplification Questions and Practice Problems - Hitbullseye

Sol : Option B
5(1/2) + 6(1/2) - 8(1/4) = (5+6-8) + ((1/2) + (1/2) - (1/4)) = 3(3/4)

Q.4. 22 – [9 – {6 – (10 –4-3 )}]


A. 12

B. 14

C. 10

D. 8

ANSWER & EXPLANATION

Sol : Option C
22 – [9 – {6 – (10 –4-3 )}]
= 22 - [9 - {6 -) - (10 – 1)}] = 22 - [ 9 - { 6 - 9}]
= 22 - [9 - {-3}] = 22 - [9 + 3] = 22 - [12] = 22 - 12 = 10

Q.5. 103 - 33 - 23/102 =?


A. 9.5

B. 9.62

C. 9.61

D. 9.6

ANSWER & EXPLANATION

Sol : Option A
103 - 33 - 23/102
= 1000-27-8/100
=965/100 = 9.65

Must Read BODMAS Articles

Simplification: BODMAS- Basic concepts Practice Problems: Level 01

Simplification: BODMAS Solved Examples Practice Problems: Level 02

Q.6. (14)2 – (.06)2

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8/9/2019 Simplification Questions and Practice Problems - Hitbullseye

A. 194.36

B. 193.36

C. 195.36

D. None of these

ANSWER & EXPLANATION

Sol : Option D
(14)2 – (.06)2
= 196 - .0036 = 195 .9964

Q.7. 37.5% of 800 – 6.25% of 1600 =?


A. 200

B. 250

C. 275

D. 236

ANSWER & EXPLANATION

Sol : Option A
37.5% of 800 - 6.25% of 1600
3/8 × 800 - 1/16 × 1600 = 300 – 100 = 200

Q8. (√289/34) × (68/√1156) × (√961/62) = ?


A. 1/2

B. 3/4

C. 5/6

D. 7/8

ANSWER & EXPLANATION

Sol : Option A
(√289/34) × (68/√1156) × (√961/62)
= (17/34) × (68/34) × (31/62) = 1/2

Q9. 63 + 83 -73 / 62 + 83 - 72 = ?
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8/9/2019 Simplification Questions and Practice Problems - Hitbullseye

A. 287/385

B. 223/167

C. 385/51

D. 231/378

ANSWER & EXPLANATION

Sol : Option C
63 + 83 -73 / 62 + 83 - 72
=(216+512-343)/(36+64-49)
=(728-343)/(100-49)
=385/51

Q10. (19×9+31×10+32×11)/(233.25×2-50) = ?
A. 4

B. 8

C. 6

D. 2

ANSWER & EXPLANATION

Sol : Option D
(19×9+31×10+32×11)/(233.25×2-50)
=171+310+350/466.5-50
=833/416.5
=2

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